Question

The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116.

Answer 1

Answer:

the bigger number is 42

the smaller number is 10

Step-by-step explanation:

use algebra to denote:

let x be the bigger number

let y be the smaller number

x+2y=62...(1)

3x-y=116...(2)

x=62-2y...(1a)

substitute

3(62-2y)-y=116

186-6y-y=116

-7y=116-186

-7y=-70

y=-70/-7

y=10

therefore x is:

x=62-2(10)

x=62-20

x=42